David,
Those stats are great. I would, however, trust only the fatal accident stats and leave the others to 'highly suspicious'.
All of the non-fatal accidents I've seen during hunting were either not treated at a hospital/doctor or not reported as a hunting related accident.
Talk to a southwest chukar hunter and you'll likely find he's had plenty of spills and sprains, sheading blood and nursing a limp for weeks. Nearly none would be formally treated at a professional care facility.
A friend blew a .300 Weatherby case open like a flower and one of the petals cut his finger pretty bad, rang his ears and mine. No formal treatment. (how this happened is a story for another thread, but I'll never buy a Mark 5 Weatherby on a bet)
My point is; hunting is likely a source of a high number of injuries per hour of hunting. Sure, most of the injuries are minor, but some are a little more significant.
But if you want an activity that's really dangerous, bicycling I think is the king. Find someone that's ridden a bike that doesn't have an injury story...or 10 or 15. I've known of several fatalities to either people I've known or their family members.